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On more accurate Hilbert-type inequalities in finite measure spaces (CROSBI ID 193601)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Krnić, Mario ; Pečarić, Josip On more accurate Hilbert-type inequalities in finite measure spaces // Collectanea mathematica, 65 (2014), 1; 143-154. doi: 10.1007/s13348-013-0088-1

Podaci o odgovornosti

Krnić, Mario ; Pečarić, Josip

engleski

On more accurate Hilbert-type inequalities in finite measure spaces

In this paper we establish several more precise versions of a general Hilbert-type inequality regarding finite measure spaces. These inequalities are derived by virtue of some new improved versions of the Holder inequality, known from the literature. The main results are then applied to some particular settings with a special emphasis to homogeneous kernels and power weight functions.

Hilbert inequality; Hilbert-type inequalities; Holder inequality; refinement; converse; homogeneous function; incomplete Beta function

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Podaci o izdanju

65 (1)

2014.

143-154

objavljeno

0010-0757

10.1007/s13348-013-0088-1

Povezanost rada

Matematika

Poveznice
Indeksiranost